%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP341_1 : TPTP v9.2.0. Released v8.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Oct 3 07:52:09 PM UTC 2025 % Result : Theorem 3.79s 3.99s % Output : Proof 3.79s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : ITP341_1 : TPTP v9.2.0. Released v8.0.0. % 0.13/0.13 % Command : duper %s % 0.13/0.34 % Computer : n020.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Thu Oct 2 23:06:23 EDT 2025 % 0.13/0.34 % CPUTime : % 3.79/3.99 SZS status Theorem for theBenchmark.p % 3.79/3.99 SZS output start Proof for theBenchmark.p % 3.79/3.99 Clause #3 (by assumption #[]): Eq (Not (Eq («matrix_matrix_mult$» («matrix_inv$» «p$») («mat$» «one$»)) («matrix_inv$» «p$»))) True % 3.79/3.99 Clause #7 (by assumption #[]): Eq (Eq «a$» («matrix_matrix_mult$» («matrix_inv$» «p$») («mat$» «one$»))) True % 3.79/3.99 Clause #9 (by assumption #[]): Eq % 3.79/3.99 (∀ (A__questionmark_v0 : «A_n_vec_n_vec$»), % 3.79/3.99 Eq («matrix_matrix_mult$» A__questionmark_v0 («mat$» «one$»)) A__questionmark_v0) % 3.79/3.99 True % 3.79/3.99 Clause #452 (by clausification #[3]): Eq (Eq («matrix_matrix_mult$» («matrix_inv$» «p$») («mat$» «one$»)) («matrix_inv$» «p$»)) False % 3.79/3.99 Clause #453 (by clausification #[452]): Ne («matrix_matrix_mult$» («matrix_inv$» «p$») («mat$» «one$»)) («matrix_inv$» «p$») % 3.79/3.99 Clause #558 (by clausification #[7]): Eq «a$» («matrix_matrix_mult$» («matrix_inv$» «p$») («mat$» «one$»)) % 3.79/3.99 Clause #559 (by backward demodulation #[558, 453]): Ne «a$» («matrix_inv$» «p$») % 3.79/3.99 Clause #583 (by clausification #[9]): ∀ (a : «A_n_vec_n_vec$»), Eq (Eq («matrix_matrix_mult$» a («mat$» «one$»)) a) True % 3.79/3.99 Clause #584 (by clausification #[583]): ∀ (a : «A_n_vec_n_vec$»), Eq («matrix_matrix_mult$» a («mat$» «one$»)) a % 3.79/3.99 Clause #585 (by superposition #[584, 558]): Eq «a$» («matrix_inv$» «p$») % 3.79/3.99 Clause #586 (by forward contextual literal cutting #[585, 559]): False % 3.79/3.99 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------